COSET ENUMERATION FOR CERTAIN INFINITELY PRESENTED GROUPS
2011 ◽
Vol 21
(08)
◽
pp. 1369-1380
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Keyword(s):
We describe an algorithm that computes the index of a finitely generated subgroup in a finitely L-presented group provided that this index is finite. This algorithm shows that the subgroup membership problem for finite index subgroups in a finitely L-presented group is decidable. As an application, we consider the low-index subgroups of some self-similar groups including the Grigorchuk group, the twisted twin of the Grigorchuk group, the Grigorchuk super-group, and the Hanoi 3-group.
Keyword(s):
1976 ◽
Vol 20
(1)
◽
pp. 73-79
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Keyword(s):
2019 ◽
pp. 1-31
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Keyword(s):
2015 ◽
Vol 93
(1)
◽
pp. 47-60
2014 ◽
Vol 51
(4)
◽
pp. 547-555
◽
1979 ◽
Vol 31
(6)
◽
pp. 1329-1338
◽
2003 ◽
Vol 46
(1)
◽
pp. 122-129
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Keyword(s):
2010 ◽
Vol 20
(05)
◽
pp. 661-669
◽
Keyword(s):